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An alloy contains zinc, copper and tin in the ratio 2 : 3 : 1 and another contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in new alloy will be:

A. $$\frac{{1}}{{2}}$$ kg

B. $$\frac{{1}}{{8}}$$ kg

C. $$\frac{{3}}{{14}}$$ kg

D. $$\frac{{7}}{{9}}$$ kg

Answer: Option B

Solution(By Examveda Team)

Ratio of Zinc, Copper and Tin is given as,
Z : C : T = 2 : 3 : 1.
Now, let the first alloy be 12 kg (taken as 4 kg Zinc, 6 kg Copper and 2 Kg Lead). Weight of second alloy = 12 kg as, C : T : L = 5 : 4 : 3. (taken as 5 kg Copper, 4 kg Tin and 3 Kg Lead.)
Alloys are mixed together to form third alloy. Then the ratio of content in it,
Z : C : T : L = 4 : (6 + 5) : (2 + 4) : 3
Weight of third alloy = 12 + 12 = 24 Kg.
So, weight of the Lead = $$\frac{{3}}{{24}}$$ = $$\frac{{1}}{{8}}$$ kg.

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Comments ( 10 )

  1. Sai Kiran
    Sai Kiran :
    3 years ago

    why the weight is taken as 12kg for both alloy? why cannt v take 6kg of first alloy and 12 kg of next alloy?
    GIVEN IN QUEST
    Z : C : T = 2 : 3 : 1 =6
    C : T : L = 5 : 4 : 3=12
    why cannt v take 6kg IF U WANT TO TAKE, THEN TAKE IT AS C : T : L = 5/2 : 4/2 : 3/2
    BECAUSE Z:C:T AND C:T:L SHOULD BE EQUAL .

    If equal weights of both alloys are melted together to form a third alloy,

  2. Ripon Das
    Ripon Das :
    3 years ago

    রিটেনে এভাবে করলে মার্কস দিবে?

  3. Md Helal
    Md Helal :
    4 years ago

    Z : C : T = 2 : 3 : 1 or 4 : 6 : 2
    C : T : L = 5 : 4 : 3
    Z : C : T : L = 4 : 11 : 6 : 3
    Weight of L = 3/24 = 1/8 (Ans.)

  4. Manpreet Kaur
    Manpreet Kaur :
    6 years ago

    From this we learn that if in alloy content is equally mix then we have to make equal them

  5. Leelanand Kumar
    Leelanand Kumar :
    7 years ago

    Could you Please Explain more elaborately...

  6. Leelanand Kumar
    Leelanand Kumar :
    7 years ago

    Thank u very much.. now i understood very quickly. thank u so much for ur concern....

  7. Subbu
    Subbu :
    7 years ago

    thank u sir

  8. Kumar Chandan
    Kumar Chandan :
    7 years ago

    Subbu, you can take any weight according to your convenient but you need focus on the ration given of alloy. As alloy ratio is given, 2 : 3 : 1. So your taken weight would be in same ratio. That's why 4, 6 and 2 kg has been taken. It gives ratio 2 : 3 : 1. You can also take 8, 12 and 4 kg of metals which gives total alloy 24 kg. It will also give the same answer.

  9. Subbu
    Subbu :
    7 years ago

    why the weight is taken as 12kg for both alloy? why cannt v take 6kg of first alloy and 12 kg of next alloy?

  10. Aman
    Aman :
    7 years ago

    Thank you so much sir

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